• anonymous
1). $\lim_{(x,y) \rightarrow (0,0)} \frac{ x ^{2}y ^{2} }{ x ^{4}+y ^{4} }$ 2). $\lim_{(x,y) \rightarrow (0,0)} \frac{ x ^{2}y ^{2} }{ 2x ^{4}+y ^{4} }$ In the first limit I used that $f(x,y)=f(x,0) \rightarrow 0$ and $f(x,y)=f(0,y)\rightarrow0$ But in the second one that becomes totally wrong, since the x-axis goes to zero and y-axis to 1/3. Why should one change from f(o,y)-> 0 to x=y in the second one, how do I recognize when I should set x=y ?
Mathematics
• Stacey Warren - Expert brainly.com
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SOLVED
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